Vibration Response Of Thin Plate Research Articles

Analysis of frequency-domain vibration response of thin plate attached with viscoelastic free layer damping

ABSTRACTTo predict the vibration response of viscoelastic composite structure, two key issues need to be conducted, one is introducing the constitutive model of viscoelastic material into the analysis model and the other is describing the real damping behavior of viscoelastic composite structure. The emphasis of this study is to obtain the effects of frequency dependence on the vibration response of viscoelastic composite structure and the method of introducing two kinds of damping (viscoelastic material damping and remaining equivalent viscous damping). Vibration response analysis in frequency domain was investigated for viscoelastically damped plate. A cantilever plate attached with the ZN_1 viscoelastic free layer damping (FLD) was chosen to demonstrate the developed method. Frequency-domain response of the composite plate were solved and the obtained results were compared with the experimental values for the purpose of assessing the rationality of the proposed method. In addition, in order to obtain the effects of viscoelastic material parameters on vibration response of viscoelastic composite structure, a detailed parametric analysis was performed. This study shows that the frequency dependent characteristic of viscoelastic material has significant influence on the vibration response in the resonant region and acceptable results can be achieved in the non-resonant region if frequency dependent parameters are substituted by average values of the viscoelastic parameters reasonably in the analysis process.

A novel scheme for the discrete prediction of high-frequency vibration response: Discrete singular convolution–mode superposition approach

This study introduces a novel scheme for the discrete high-frequency forced vibration analysis based on discrete singular convolution (DSC) and mode superposition (MS) approaches. The accuracy of the DSC–MS is validated for thin beams and plates by comparing with available analytical solutions. The performance of the DSC–MS is evaluated by predicting spatial distribution and discrete frequency spectra of the vibration response of thin plates with two different boundary conditions. The frequency spectra of the time-harmonic excitation forces are in the form of ideal and band-limited white noise so that the natural modes in the frequency band are provoked. The solution exposes high-frequency response behaviour definitely. Therefore, it is hoped with this paper to contribute the studies on the treatment of uncertainties in the high-frequency design applications.

Forced vibration response of thin plate with attached discrete dynamic absorbers

Forced vibration response of a rectangular thin plate with single discrete mass and patch placed at the centre of plate has been determined using finite element method. The effects of varying thickness or area of patch on the dynamic vibration absorption has been analysed. Results show that single discrete mass/patch at the centre of the plate may act as dynamic vibration absorbers over certain frequency range. Simply increasing the weights of discrete mass/patch does not improve the vibration absorption over the entire frequency range of 0–1000 Hz. Further, a few discrete masses are better than discrete patches for vibration absorption over the entire frequency range. Also, there is optimal weight of the discrete mass for which vibration absorption is optimum. There exists optimal thickness of patch for a given area as well as an optimal area of patch for a given thickness, for which patches behave optimally as dynamic vibration absorbers.